Publication Abstracts
Zahn et al. 1974
Zahn, J.-P., J. Toomre, E.A. Spiegel, and D.O. Gough, 1974: Nonlinear cellular motions in Poiseuille channel flow. J. Fluid Mech., 64, 319-346, doi:10.1017/S0022112074002424.
We expand the equations describing plane Poiseuille flow in Fourier series in the co-ordinates in the plane parallel to the bounding walls. There results an infinite system of equations for the amplitudes, which are functions of time and of the cross-stream co-ordinate. This system is drastically truncated and the resulting set of equations is solved accurately by a finite difference method. Three truncations are considered: (I) a single mode with dependence only on the downstream co-ordinate and time, (II) the mode of (I) plus its first harmonic, (III) a single three-dimensional mode. For all three cases, for a variety of initial conditions, the solutions evolve to a steady state as seen in a particular moving frame of reference. No runaways are encountered.
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BibTeX Citation
@article{za04000r,
author={Zahn, J.-P. and Toomre, J. and Spiegel, E. A. and Gough, D. O.},
title={Nonlinear cellular motions in Poiseuille channel flow},
year={1974},
journal={J. Fluid Mech.},
volume={64},
pages={319--346},
doi={10.1017/S0022112074002424},
}
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RIS Citation
TY - JOUR ID - za04000r AU - Zahn, J.-P. AU - Toomre, J. AU - Spiegel, E. A. AU - Gough, D. O. PY - 1974 TI - Nonlinear cellular motions in Poiseuille channel flow JA - J. Fluid Mech. VL - 64 SP - 319 EP - 346 DO - 10.1017/S0022112074002424 ER -
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